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Finding the Fourth Proportional to 822.49, 1,234.25 and 328.83

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Solution

The fourth proportional to 822.49, 1,234.25 and 328.83 is: 493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.49 : 1,234.25 = 328.83 : x
  2. Step 2: Convert to fraction form
    822.49/1,234.25 = 328.83/x
  3. Step 3: Cross multiply
    822.49x = 1,234.25 × 328.83
  4. Step 4: Simplify right side
    822.49x = 405,853.24
  5. Step 5: Solve for x
    x = 405,853.24/822.49
  6. Step 6: Final answer
    x = 493.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.